Article ID Journal Published Year Pages File Type
8899081 Journal of Differential Equations 2018 39 Pages PDF
Abstract
We consider the inertial Qian-Sheng model of liquid crystals which couples a hyperbolic-type equation involving a second-order material derivative with a forced incompressible Navier-Stokes system. We study the energy law and prove a global well-posedness result. We further provide an example of twist-wave solutions, that is solutions of the coupled system for which the flow vanishes for all times.
Related Topics
Physical Sciences and Engineering Mathematics Analysis
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